We tried to grow goji berries and they did great until something cut them down - We think cut worms-tried several different ways to protect - none worked, so we gave up and planted honey dew berries.
We have wild elderberries, but the critters always beat us to them. I would probably freeze them or make a simple syrup. One cup of juice to 2 cups of water, and maybe a squirt of lemon juice and then pressure can them. For a thinner syrup, use less sugar. Thicker-cook it down a bit.
Will be interesting to see if more goji berries invade the elderberries or more elderberries invade the gogi berries. They are in a largish area with thick wood-chip mulch.